Cost Calculation for Rice Purchase: A Comprehensive Guide

When purchasing goods, it's essential to understand the cost per unit, especially when dealing with bulk purchases. This article will guide you through calculating the cost of acquiring a larger quantity of rice based on the initial purchase. Let's solve the problem of finding the total cost for 20 kg of rice when 5 kg costs Rs. 150.

Understanding the Problem

Suppose a person buys 5 kg of rice for Rs. 150. Here, the basic principle is to find the cost per kg and then use that to determine the cost for a larger quantity.

Step-by-Step Calculation

Step 1: Calculate the price per kg

First, we need to determine the price per kg of rice:

Price per kg Total Price / Total Weight

Substitute the given values:

Price per kg 150 RS / 5 kg 30 RS/kg

Step 2: Calculate the cost for 20 kg of rice

Once we have the price per kg, we can easily calculate the cost for 20 kg:

Cost for 20 kg Price per kg × Weight

Substitute the values:

Cost for 20 kg 30 RS/kg × 20 kg 600 RS

Therefore, the person will pay Rs. 600 for 20 kg of rice.

Alternative Methods

There are several ways to solve this problem. Let's explore a couple of them:

Method 1: Direct Multiplication

Alternatively, we can use the price per kg to directly calculate the cost for 20 kg:

Cost for 20 kg 20 × 30 RS 600 RS

Method 2: Simple Proportion

We can also use a simple proportion to find the cost:

5 kg costs 150 RS

20 kg costs (20/5) × 150 RS 600 RS

Real-Life Applications

Understanding cost calculations for bulk purchases is crucial in both personal and commercial settings. When purchasing food items, such as rice, it's important to calculate the cost based on the quantity to ensure you are getting the best deal. Here's a real-life application:

Example Scenario

Imagine a restaurant owner needs to order rice for serving 200 customers. If each customer is expected to consume 1 kg of rice, the owner would need 200 kg of rice. Using the same method, the cost for 200 kg of rice would be:

Cost for 200 kg 200 × 30 RS 6000 RS

This helps in budgeting and managing inventory effectively.

Conclusion

Calculating the cost for a larger quantity of rice based on the initial purchase is straightforward. By determining the price per kg and then multiplying it by the desired quantity, you can accurately estimate the cost. Whether for personal use or commercial purposes, understanding these cost calculations is essential for making informed decisions.

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